Is there a word for someone who annoys you on purpose so you eventually have to do their bidding? [duplicate]
Such a person could be called Importunate.
troublesomely urgent :
Overly persistent in request or demand importunate creditors.
Indeed, such a person you would hardly want to put up with, but I doubt if there is a "toxic ring" to the word.
Or, you could call this person a manipulator— This one seems more in line with annoying you on purpose to have their purpose served. This one does infact usually apply to toxic people.
While more of a slang word, nagging seems almost exactly what you want.
(of a person) constantly harassing someone to do something.